en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(y^3x)

Solution

simplify

lo g_{b} (y^{3} x)

Solution

3 lo g_{b} (y) + lo g_{b} (x)

Solution steps

lo g_{b} (y^{3} x)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (y^{3} x) = lo g_{b} (y^{3}) + lo g_{b} (x)

= lo g_{b} (y^{3}) + lo g_{b} (x)

Simplify

lo g_{b} (y^{3}) : 3 lo g_{b} (y)

= 3 lo g_{b} (y) + lo g_{b} (x)

Popular Examples

simplify-log_{10}(7.9*10^{-5})simplify

- lo g_{10} (7.9 \cdot 1 0^{- 5})

simplify 1/2 log_{c}(x)+4log_{c}(y)-2log_{c}(x)simplify

\frac{1}{2} lo g_{c} (x) + 4 lo g_{c} (y) - 2 lo g_{c} (x)

simplify ln(ab^2)simplify

ln (a b^{2})

simplify log_{10}(x)+3log_{10}(y)-4log_{10}(z)simplify

lo g_{10} (x) + 3 lo g_{10} (y) - 4 lo g_{10} (z)

simplify ln(z(z-1)^2)simplify

ln (z (z - 1)^{2})

Frequently Asked Questions (FAQ)

What is log_{b}(y^3x) ?
The solution to log_{b}(y^3x) is 3log_{b}(y)+log_{b}(x)